# ManYue pictured balances: establish equal arms and static conditions before comparing pans

Language: en
Canonical: [ManYue pictured balances: establish equal arms and static conditions before comparing pans](<https://allluckly.cn/en/guides/manyue-in-story-balance-equal-arm-torque-conditions/>)
中文：[中文 HTML](<https://allluckly.cn/guides/manyue-in-story-balance-equal-arm-torque-conditions/>)
English: [English HTML](<https://allluckly.cn/en/guides/manyue-in-story-balance-equal-arm-torque-conditions/>)
Published: 2026-11-11T00:00:00+08:00
Modified: 2026-11-11T09:40:26+08:00
Author: Bison

Use original load diagrams to distinguish equal mass from balanced torque, retaining pivot, lever arms and hidden conditions without deriving exact weights from pan height.

English translation of the [Chinese original](<https://allluckly.cn/guides/manyue-in-story-balance-equal-arm-torque-conditions/>), translated on 2026-11-11. Original publication dates, attribution, code and version notes are retained.

A level drawn beam does not alone prove equal masses on both sides. Read an explicitly ideal static balance in ManYue, record its assumptions and compare an unequal-arm control. This is diagram reading and manual arithmetic, not equipment operation or automatic weight recognition. Perspective, motion and unshown constraints must not silently become known facts.

## Check whether ideal static conditions are stated

Record work, edition, chapter/page, panel and caption. Identify an explanatory drawing, photograph or exaggeration. The sample explicitly assumes a negligible beam mass, no extra pivot resistance, shared gravity, rest and specified force locations. These are stipulations, not deductions from a horizontal beam. Without them, retain uncertainty: one instant is not established static equilibrium. Unless pan masses are equal or removed from the accounting, contents alone cannot be compared. List assumptions before mass equalities.

## Measure moment arms from the pivot, not the outer frame

Find the pivot and suspension points, then use the stated perpendicular moment arms rather than pan edges or canvas margins. Our equal-arm sample has two illustrative length units on each side, downward forces and a horizontal beam. Those stipulated arms support comparison. Slanted suspension, an inclined beam or changed force direction requires the actual perpendicular distance, not unchanged rod-segment lengths. Without a scale, record apparent symmetry rather than pixel-proven equality. Distinguish decorative support lines from the pivot.

## For equal arms, first calculate total pan loads

Pan masses are excluded here. The left contains masses three and one, the right mass four, all in the same units. Both total four, giving equal torque magnitudes under the specified equal-arm, shared-gravity static assumptions. Two objects versus one does not make the left heavier, and drawn size does not directly encode mass. Separate object identities, stated values and pan totals. Convert different units before addition; missing units or values remain unknown rather than being supplied from colour.

## Balance involves both force and moment arm

Compare opposite torques about the pivot. Weight is mass times the same gravitational acceleration, so the shared factor cancels in this comparison. Four times two on either side gives eight mass-length units, not eight actual newton-metres before multiplying by gravity. Torque definitions check assumptions rather than certify precision. The support also balances total forces; matching side products does not establish any real stand’s safety. This ideal reading example is not a design or loading instruction for an actual balance.

## An unequal-arm balance does not imply equal masses

In a separate control, left arm two with mass two and right arm one with mass four both produce mass-arm product four. Balance is possible with unequal masses. This refutes unconditional “balanced means equal weight,” not the original equal-arm example. Keep both assumption sets separate rather than silently changing the right arm to two while retaining the old equality. Pan height is not itself arm length; define arms relative to pivot and force direction. Use stated data, not a preferred weight ratio inferred from a sloping beam. Missing direction leaves conditions insufficient.

## Do not derive weights directly from tilt or occlusion

A lower pan in one panel may reflect motion, a deliberately inclined beam, contact or drawing style; it does not yield exactly one kilogram of excess. Analyse stated static constraints when available, otherwise retain alternatives. Hidden objects may exist, so visible count is not total mass. A character’s “this side is heavier” is separate textual evidence, not the diagram or model itself. Substitute only given relationships. Do not invent hidden loads from a character’s claim and then use those inventions to prove the claim.

## Check for changed units or models

For disagreement, check pan masses, arms, units, shared gravity and static assumptions before changing numbers to make the picture look level. A different pivot requires a new relation rather than inherited mass conclusions. Screenshot zoom does not alter stipulated values, and perspective rod lengths are not direct moment arms. Describe the particular object, pan, pivot and conditions instead of “the left is wrong.” Retain source locations and personal sketches, leaving occlusion or pivot uncertainties unresolved without claiming app-based weighing.

## Exit and return to review equal and unequal arms separately

Exit the reader and return to both samples. Read assumptions before calculating four-times-two versus four-times-two, and two-times-two versus four-times-one. Explain why equal total masses follow in the first model while the second compares torque under different arms. Save panel, static assumptions, pivot/arms, stated masses, calculations and unknowns. Completion means explicit conditions for the pictured conclusion, not equal weight in every beam drawing or motion prediction from one frame. This self-made reading illustration is no validated equipment experiment, mass measurement or assembly result.

## Related guides and sources

[ManYue visual-scale checks: reference conditions for size and distance](<https://allluckly.cn/en/guides/manyue-visual-scale-reference-check/>); [ManYue: Separate changed conditions, visible results and causal claims in an experiment scene](<https://allluckly.cn/en/guides/manyue-comic-experiment-condition-result/>).

Checked on November 11, 2026: [Apple public information](<https://itunes.apple.com/lookup?id=6753895889&country=cn&entity=software&timestamp=20261111>) lists ManYue 2.0.5, requiring iOS / iPadOS 15.0 or later. See the [official App Store](<https://apps.apple.com/cn/app/id6753895889>) for published capabilities; verify specific controls in the installed version.

Method reference: [OpenStax: Static Equilibrium and Torque Conditions](<https://openstax.org/books/university-physics-volume-1/pages/12-2-examples-of-static-equilibrium>). Samples, passages and controls are original exercises. Sources establish definitions and checking methods rather than new automatic analysis in the app. Manual records may be kept externally, and unknown fields should remain explicit. This article does not claim step-by-step testing on a physical device, private server or every output environment.